Non-stationary response of nonlinear systems with singular parameter matrices subject to combined deterministic and stochastic excitation

• Published in: Mechanical systems and signal processing Vol. 188; p. 110009
• Main Authors: Ni, P., Fragkoulis, V.C., Kong, F., Mitseas, I.P., Beer, M.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.04.2023
• Subjects: Combined excitation; Energy harvester; Moore–Penrose matrix inverse; Statistical linearization; Stochastic dynamics; Stochastic dynamics; Statistical linearization; Energy harvester; Moore–Penrose matrix inverse; Combined excitation

A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear systems with singular parameter matrices subject to combined deterministic and non-stationary stochastic excitation. Singular matrices in the governing equations of motion potentially account for the presen...